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37 /* PROLOG END TAG zYx */
38 #ifdef __SPU__
39 #ifndef _SINHF4_H_
40 #define _SINHF4_H_ 1
41
42 #include <spu_intrinsics.h>
43
44 #include "expf4.h"
45 #include "recipf4.h"
46
47
48 /*
49 * FUNCTION
50 * vector float _sinhf4(vector float angle)
51 *
52 * DESCRIPTION
53 * The _sinhf4 function computes the hyperbolic sine of a vector of
54 * angles (expressed in radians) to an accuracy of a single precision
55 * floating point.
56 *
57 */
_sinhf4(vector float x)58 static __inline vector float _sinhf4(vector float x)
59 {
60 // 1.0000 (above this number, use sinh(x) = 0.5 * (e^x - e^-x)
61 vec_uint4 threshold = (vec_uint4)spu_splats(0x3F800000);
62
63 vec_uint4 sign_mask = (vec_uint4)spu_splats(0x80000000);
64
65 // Coefficents for the Taylor series
66 vec_float4 f03 = spu_splats(1.6666666666666667E-1f); // 1/3!
67 vec_float4 f05 = spu_splats(8.3333333333333333E-3f); // 1/5!
68 vec_float4 f07 = spu_splats(1.9841269841269841E-4f); // 1/7!
69 vec_float4 f09 = spu_splats(2.7557319223985891E-6f); // 1/9!
70 vec_float4 f11 = spu_splats(2.5052108385441719E-8f); // 1/11!
71
72
73 // Perform the calculation as a Taylor series
74 vec_float4 result;
75 vec_float4 x2 = spu_mul(x,x);
76 result = spu_madd(x2,f11,f09);
77 result = spu_madd(x2,result,f07);
78 result = spu_madd(x2,result,f05);
79 result = spu_madd(x2,result,f03);
80 result = spu_madd(x2,result,spu_splats(1.0f));
81 result = spu_mul(x,result);
82
83
84 // Perform calculation as a function of 0.5 * (e^x - e^-x)
85 vec_float4 ex =_expf4(x);
86 vec_float4 ex_inv = _recipf4(ex);
87
88 vec_float4 r2= spu_sub(ex,ex_inv);
89 r2 = spu_mul(r2,spu_splats(0.5f));
90
91 vec_uint4 xabs = spu_andc((vec_uint4)x,sign_mask);
92 vec_uint4 use_exp = spu_cmpgt(xabs,threshold);
93
94 // Select either the Taylor or exp version
95 result = spu_sel(result,r2,use_exp);
96
97 // Flip the sign if needed
98 result = (vec_float4)spu_or((vec_uint4)result,spu_and((vec_uint4)x,sign_mask));
99
100 return result;
101
102 }
103 #endif /* _SINHF4_H_ */
104 #endif /* __SPU__ */
105
